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Volumn 9, Issue 2, 2003, Pages 141-174

Discrete frames of poincaré coherent states in 1 + 3 dimensions

Author keywords

Coherent states; Discretization; Frames; Poincar group; Sampling

Indexed keywords


EID: 0037989856     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-003-0009-x     Document Type: Article
Times cited : (6)

References (23)
  • 1
    • 0001505484 scopus 로고
    • Square-integrability of group representations on homogeneous spaces, I. Reproducing triples and frames
    • Ali, S.T., Antoine, J-P., and Gazeau, J-P. (1991). Square-integrability of group representations on homogeneous spaces, I. Reproducing triples and frames, Ann. Inst. H. Poincaré, 55, 829-855.
    • (1991) Ann. Inst. H. Poincaré , vol.55 , pp. 829-855
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3
  • 2
    • 0001505487 scopus 로고
    • Square-integrability of group representations on homogeneous spaces, II. Coherent and quasi-coherent states: The case of the Poincaré group
    • Ali, ST., Antoine, J1-P., and Gazeau, J-P. (1991). Square-integrability of group representations on homogeneous spaces, II. Coherent and quasi-coherent states: The case of the Poincaré group, Ann. Inst. H. Poincaré, 55, 857-890.
    • (1991) Ann. Inst. H. Poincaré , vol.55 , pp. 857-890
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3
  • 4
    • 0000397236 scopus 로고
    • Coherent states and their generalizations: A mathematical overview
    • Ali, ST., Antoine, J-P., Gazeau, J-P., and Mueller, U.A. (1995). Coherent states and their generalizations: A mathematical overview, Reviews Math. Phys., 7, 1013-1104.
    • (1995) Reviews Math. Phys. , vol.7 , pp. 1013-1104
    • Ali, S.T.1    Antoine, J.-P.2    Gazeau, J.-P.3    Mueller, U.A.4
  • 5
    • 0038606703 scopus 로고    scopus 로고
    • Frames, the β-duality in Minkowski space and spin coherent states
    • Ali, ST., Gazeau, J-P., and Karim, M.R. (1996). Frames, the β-duality in Minkowski space and spin coherent states, J. Phys. A: Math. Gen., 29, 5529-5549.
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 5529-5549
    • Ali, S.T.1    Gazeau, J.-P.2    Karim, M.R.3
  • 8
    • 23044519542 scopus 로고    scopus 로고
    • An algebraic approach to discrete dilations. Application to discrete wavelet transforms
    • Antoine, J-P., Kouagou, Y.B., Lambert, D., and Torrésani, B. (2000). An algebraic approach to discrete dilations. Application to discrete wavelet transforms, J. Fourier Anal. Appl., 6(2), 113-141.
    • (2000) J. Fourier Anal. Appl. , vol.6 , Issue.2 , pp. 113-141
    • Antoine, J.-P.1    Kouagou, Y.B.2    Lambert, D.3    Torrésani, B.4
  • 9
    • 0000736893 scopus 로고
    • Treillis d'ondelettes associés aux groupes de Lorentz
    • Bohnké, G. (1991). Treillis d'ondelettes associés aux groupes de Lorentz, Ann. Inst. H. Poincaré, 54, 245-259.
    • (1991) Ann. Inst. H. Poincaré , vol.54 , pp. 245-259
    • Bohnké, G.1
  • 13
    • 0004774156 scopus 로고
    • Geometry of symmetrized states
    • Gilmore, R. (1972). Geometry of symmetrized states, Ann. Phys. (NY), 74, 391-463.
    • (1972) Ann. Phys. (NY) , vol.74 , pp. 391-463
    • Gilmore, R.1
  • 14
    • 0001628846 scopus 로고
    • On properties of coherent states
    • Gilmore, R. (1974). On properties of coherent states, Rev. Mex. Fis., 23, 143-187.
    • (1974) Rev. Mex. Fis. , vol.23 , pp. 143-187
    • Gilmore, R.1
  • 16
    • 0024903928 scopus 로고
    • Continuous and discrete wavelet transforms
    • Heil, C., and Walnut, D. (1989). Continuous and discrete wavelet transforms, SIAM Rev., 31, 628-666.
    • (1989) SIAM Rev. , vol.31 , pp. 628-666
    • Heil, C.1    Walnut, D.2
  • 18
    • 21944440286 scopus 로고    scopus 로고
    • On the pseudo-dilation representation of Flornes, Grossmann, Holschneider and Torrésani
    • Johnston, C. (1997). On the pseudo-dilation representation of Flornes, Grossmann, Holschneider and Torrésani, Appl. Comput. Harmon. Anal., 3, 377-385.
    • (1997) Appl. Comput. Harmon. Anal. , vol.3 , pp. 377-385
    • Johnston, C.1
  • 23
    • 0000608386 scopus 로고
    • Causality implies the Lorentz group
    • Zeeman, B.C. (1964). Causality implies the Lorentz group, J. Math. Phys., 5, 490-493.
    • (1964) J. Math. Phys. , vol.5 , pp. 490-493
    • Zeeman, B.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.